2018-11-20T04:11:39Zhttp://cjms.journals.umz.ac.ir/?_action=export&rf=summon&issue=2212015-12-0110.22080Caspian Journal of Mathematical Sciences (CJMS)CJMS1735-06111735-0611201542Approximate mixed additive and quadratic functional in 2-Banach spacesS.EivaniS.OstadbashiIn the paper we establish the general solution of the function equation f(2x+y)+f(2x-y) = f(x+y)+f(x-y)+2f(2x)-2f(x) and investigate the Hyers-Ulam-Rassias stability of this equation in 2-Banach spaces.Linear 2-normed spaceHyers-Ulam-RassiasQuadratic functionAdditive function20151201167173http://cjms.journals.umz.ac.ir/article_856_43ea275b47d3be791cea4f57f0b14c98.pdf2015-12-3110.22080Caspian Journal of Mathematical Sciences (CJMS)CJMS1735-06111735-0611201542On the $c_{0}$-solvability of a class of infinite systems of functional-integral equationsE.PourhadiA.Aghajani
In this paper, an existence result for a class of infinite systems of functional-integral equations in the Banach sequence space $c_{0}$ is established via the well-known Schauder fixed-point theorem together with a criterion of compactness in the space $c_{0}$. Furthermore, we include some remarks to show the vastity of the class of infinite systems which can be covered by our result. The applicability of the main result is demonstrated by means of an example as a model of neural nets.Infinite system of functional-integral equationsSchauder fixed-point theoremSequence spaces20151231175181http://cjms.journals.umz.ac.ir/article_1195_e3fab33b6556e4ac24b322ab6fdd80f5.pdf2015-12-3110.22080Caspian Journal of Mathematical Sciences (CJMS)CJMS1735-06111735-0611201542Spectrum Preserving Linear Maps Between Banach AlgebrasA.TaghaviR.ParvinianzadehIn this paper we show that if A is a unital Banach algebra and B is a purely innite C*-algebra such that has a non-zero commutative maximal ideal and $phi:A rightarrow B$ is a unital surjective spectrum preserving linear map. Then $phi$ is a Jordan homomorphism.Banach AlgebraC*-algebraJordan homomorphismLinear Preserving20151231183187http://cjms.journals.umz.ac.ir/article_680_ab49948f720fae6c217a7901014f18ae.pdf2015-12-3110.22080Caspian Journal of Mathematical Sciences (CJMS)CJMS1735-06111735-0611201542Exact solutions of (3 +1)-dimensional nonlinear evolution equationsN.KadkhodaIn this paper, the kudryashov method has been used for finding the general exact solutions of nonlinear evolution equations that namely the (3 + 1)-dimensional Jimbo-Miwa equation and the (3 + 1)-dimensional potential YTSF equation, when the simplest equation is the equation of Riccati.kudryashov methodJimbo-Miwa equationPotential YTSF equationRiccati equation20151231189195http://cjms.journals.umz.ac.ir/article_1124_6fb0cd38cdc67b48485292984033318b.pdf2015-12-3110.22080Caspian Journal of Mathematical Sciences (CJMS)CJMS1735-06111735-0611201542Pointwise almost periodicity in a generalized shift dynamical systemF.Ayatollah Zadeh ShiraziM.Miralaei... Almost periodicGeneralized shiftPeriodicRecurrent20151231197204http://cjms.journals.umz.ac.ir/article_984_8a16947b87dcece32bd49b4791576867.pdf2015-12-3110.22080Caspian Journal of Mathematical Sciences (CJMS)CJMS1735-06111735-0611201542A Recurrent Neural Network Model for Solving Linear Semidefinite ProgrammingS. M.Mirhosseini AlizaminiA.MalekGh.AhmadiIn this paper we solve a wide rang of Semidefinite Programming (SDP) Problem by using Recurrent Neural Networks (RNNs).
SDP is an important numerical tool for analysis and synthesis in systems and control theory. First we reformulate the problem to a linear programming problem, second we reformulate it to a first order system of ordinary differential equations.
Then a recurrent neural network model is proposed to compute related primal and dual solutions simultaneously.Illustrative examples are included to demonstrate the validity and applicability of the technique.Semidefinite ProgrammingPrimal-dual problemsRecurrent Neural Network20151231205213http://cjms.journals.umz.ac.ir/article_1125_e8daf5f98964cefe13ede8678187429e.pdf2015-12-3110.22080Caspian Journal of Mathematical Sciences (CJMS)CJMS1735-06111735-0611201542Applications of He’s Variational Principle method and the Kudryashov method to nonlinear time-fractional differential equationsM.AkbariN.Taghizadeh In this paper, we establish exact solutions for the time-fractional Klein-Gordon equation, and the time-fractional Hirota-Satsuma coupled KdV system. The He’s semi-inverse and the Kudryashov methods are used to construct exact solutions of these equations.
We apply He’s semi-inverse method to establish a variational theory for the time-fractional Klein-Gordon equation, and the time-fractional Hirota-Satsuma coupled KdV system. Based on this formulation, a solitary solution can be easily obtained using the Ritz method. The Kudryashov method is used to construct exact solutions of the time-fractional Klein-Gordon equation, and the time-fractional Hirota-Satsuma coupled KdV system.
Moreover, it is observed that the suggested techniques are compatible with the physical nature of such problems.He’s semi-inverse methodtime-fractional Klein-Gordon equationtime-fractional Hirota-Satsuma coupled KdV system20151231215225http://cjms.journals.umz.ac.ir/article_713_02f1ce16f3a362718d80302eda2840aa.pdf2015-12-3110.22080Caspian Journal of Mathematical Sciences (CJMS)CJMS1735-06111735-0611201542Biquaternions Lie Algebra and Complex-Projective SpacesM.BekarY.Yayli .Bicomplex numbersReal quaternionsbiquaternions (complexified quaternions)Lie Grouplie algebracomplex-projective spaces20151231227240http://cjms.journals.umz.ac.ir/article_560_715b1511205e82ff09b4c8ecc6cb47d1.pdf2015-12-3110.22080Caspian Journal of Mathematical Sciences (CJMS)CJMS1735-06111735-0611201542Dynamics of a discrete-time plant-herbivore modelT.AziziR.Mazrooei sebdaniStabilityLiapunov-Schmidt reductionManifoldBifurcation20151231241256http://cjms.journals.umz.ac.ir/article_1116_465b303ef1199213096b6e0d19005f45.pdf2015-12-3110.22080Caspian Journal of Mathematical Sciences (CJMS)CJMS1735-06111735-0611201542Some Fixed Point Theorems for Generalized Contractions in Metric Spaces with a GraphM.OzturkE.GirginJachymski [ Proc. Amer. Math. Soc., 136 (2008), 1359-1373] gave modified version of a Banach fixed point theorem on a metric space endowed with a graph. In the present paper, (G, Φ)-graphic contractions have been de ned by using a comparison function and studied the existence of fixed points. Also, Hardy-Rogers G-contraction have been introduced and some fixed point theorems have been proved. Some examples are presented to support the results proved herein. Our results generalized and extend various comparable results in the existing literature. Also, Also, Hardy- Rogers G-contractions have been introduced and some xed point theorems have been proved.Connected graphFixed pointΦ-contractionHardy-Rogers contraction20151231257270http://cjms.journals.umz.ac.ir/article_684_c0b6544fb395e8a26e9fd6f668315340.pdf2015-12-3110.22080Caspian Journal of Mathematical Sciences (CJMS)CJMS1735-06111735-0611201542NILPOTENCY AND SOLUBILITY OF GROUPS RELATIVE TO AN AUTOMORPHISMR.barzegarIn this paper we introduce the concept of α-commutator which its definition is based on generalized conjugate classes. With this notion, α-nilpotent groups, α-solvable groups, nilpotency and solvability of groups related to the automorphism are defined. N(G) and S(G) are the set of all nilpotency classes and the set of all solvability classes for the group G with respect to different automorphisms of the group, respectively. If G is nilpotent or solvable with respect to the all its automorphisms, then is referred as it absolute nilpotent or solvable group.
Subsequently, N(G) and S(G) are obtained for certain groups. This work is a study of the nilpotency and solvability of the group G from the point of view of the automorphism which the nilpotent and solvable groups have been divided to smaller classes of the nilpotency and the solvability with respect to its automorphisms.Nilpotent groupsolvable groupautomorphism20151231271283http://cjms.journals.umz.ac.ir/article_824_4759576cb48aca7d4f224a1d86125532.pdf